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On Properties of the Intrinsic Geometry of Submanifolds in a Riemannian Manifold

In the paper we study the properties of a metric function which is the extension by continuity of the intrinsic metric of the interior of a submanifold to its boundary. This approach is the development of the classical intrinsic geometry of surfaces studied by A.D. Alexandrov and his school.

preprint2014arXivOpen access
Anatoly P. KopylovMikhail V. Korobkov
math.MG
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Open access2 authors1 topic
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Anatoly P. KopylovMikhail V. Korobkov

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